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Popular >

inverse of 4cos(3x-pi/2)

Solution

inverse

4 cos (3 x - \frac{π}{2})

Solution

\frac{2 arccos ( \frac{x}{4} ) + π}{6}

Solution steps

Solve for

cos (3 x - \frac{π}{2}), y = 4 cos (3 x - \frac{π}{2})

cos (3 x - \frac{π}{2}) = \frac{y}{4}

cos (a) = b \Rightarrow a = arccos (b)

3 x - \frac{π}{2} = arccos (\frac{y}{4})

Solve for

x, 3 x - \frac{π}{2} = arccos (\frac{y}{4})

\frac{2 arccos ( \frac{y}{4} ) + π}{6}

Substitute

y = x

\frac{2 arccos ( \frac{x}{4} ) + π}{6}

Popular Examples

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inverse of 12*x^2-60x+44 inverse

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Frequently Asked Questions (FAQ)

What is the inverse of 4cos(3x-pi/2) ?
The inverse of 4cos(3x-pi/2) is (2arccos(x/4)+pi)/6